Qualitative Study on Solutions of Piecewise Nonlocal Implicit Fractional Differential Equations
In this paper, we investigate new types of nonlocal implicit problems involving piecewise Caputo fractional operators. The existence and uniqueness results are proved by using some fixed point theorems. Furthermore, we present analogous results involving piecewise Caputo-Fabrizio and Atangana–Balean...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2023-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2023/2127600 |
| _version_ | 1797823810748022784 |
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| author | Mohammed S. Abdo Sahar Ahmed Idris Wedad Albalawi Abdel-Haleem Abdel-Aty Mohammed Zakarya Emad E. Mahmoud |
| author_facet | Mohammed S. Abdo Sahar Ahmed Idris Wedad Albalawi Abdel-Haleem Abdel-Aty Mohammed Zakarya Emad E. Mahmoud |
| author_sort | Mohammed S. Abdo |
| collection | DOAJ |
| description | In this paper, we investigate new types of nonlocal implicit problems involving piecewise Caputo fractional operators. The existence and uniqueness results are proved by using some fixed point theorems. Furthermore, we present analogous results involving piecewise Caputo-Fabrizio and Atangana–Baleanu fractional operators. The ensuring of the existence of solutions is shown by Ulam-Hyer’s stability. At last, two examples are given to show and approve our outcomes. |
| first_indexed | 2024-03-13T10:28:29Z |
| format | Article |
| id | doaj.art-05468feb8a2b4dcc81e9b87047fed21a |
| institution | Directory Open Access Journal |
| issn | 2314-8888 |
| language | English |
| last_indexed | 2024-03-13T10:28:29Z |
| publishDate | 2023-01-01 |
| publisher | Hindawi Limited |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj.art-05468feb8a2b4dcc81e9b87047fed21a2023-05-19T00:00:06ZengHindawi LimitedJournal of Function Spaces2314-88882023-01-01202310.1155/2023/2127600Qualitative Study on Solutions of Piecewise Nonlocal Implicit Fractional Differential EquationsMohammed S. Abdo0Sahar Ahmed Idris1Wedad Albalawi2Abdel-Haleem Abdel-Aty3Mohammed Zakarya4Emad E. Mahmoud5Department of MathematicsDepartment of Industrial EngineeringDepartment of Mathematical SciencesDepartment of PhysicsDepartment of MathematicsDepartment of Mathematics and StatisticsIn this paper, we investigate new types of nonlocal implicit problems involving piecewise Caputo fractional operators. The existence and uniqueness results are proved by using some fixed point theorems. Furthermore, we present analogous results involving piecewise Caputo-Fabrizio and Atangana–Baleanu fractional operators. The ensuring of the existence of solutions is shown by Ulam-Hyer’s stability. At last, two examples are given to show and approve our outcomes.http://dx.doi.org/10.1155/2023/2127600 |
| spellingShingle | Mohammed S. Abdo Sahar Ahmed Idris Wedad Albalawi Abdel-Haleem Abdel-Aty Mohammed Zakarya Emad E. Mahmoud Qualitative Study on Solutions of Piecewise Nonlocal Implicit Fractional Differential Equations Journal of Function Spaces |
| title | Qualitative Study on Solutions of Piecewise Nonlocal Implicit Fractional Differential Equations |
| title_full | Qualitative Study on Solutions of Piecewise Nonlocal Implicit Fractional Differential Equations |
| title_fullStr | Qualitative Study on Solutions of Piecewise Nonlocal Implicit Fractional Differential Equations |
| title_full_unstemmed | Qualitative Study on Solutions of Piecewise Nonlocal Implicit Fractional Differential Equations |
| title_short | Qualitative Study on Solutions of Piecewise Nonlocal Implicit Fractional Differential Equations |
| title_sort | qualitative study on solutions of piecewise nonlocal implicit fractional differential equations |
| url | http://dx.doi.org/10.1155/2023/2127600 |
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